Newton's method based on bifurcation for solving multiple solutions of nonlinear elliptic equations

DOI10.1002/mma.2747zbMath1281.35019OpenAlexW2045870218MaRDI QIDQ2857949

Zhao-xiang Li, Zhong-hua Yang, Hai-Long Zhu

Publication date: 19 November 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2747

zbMATH Keywords

Newton's methodmultiple solutionsconcave and convex nonlinearitiespseudo-arclength continuationsymmetry-breaking bifurcation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (3)

Solution of Lane-Emden type equations using rational Bernoulli functions ⋮ Convergence, stability analysis, and solvers for approximating sublinear positone and semipositone boundary value problems using finite difference methods ⋮ MIXED FOURIER-LEGENDRE SPECTRAL METHODS FOR THE MULTIPLE SOLUTIONS OF THE SCHRODINGER EQUATION ON THE UNIT DISK

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